BOOK
Edexcel AS and A level Mathematics Pure Mathematics Year 1/AS Textbook + e-book
Greg Attwood | Jack Barraclough | Ian Bettison | Alistair Macpherson | Bronwen Moran | Ms Author
(2017)
Additional Information
Book Details
Abstract
Exam Board: Edexcel
Level: AS and A level
Subject: Mathematics
First teaching: September 2017
First exams: Summer 2018
With over 1.3 million copies sold of the previous edition, Pearson’s textbooks are the market-leading and most trusted resources for AS and A level Mathematics.
This book covers all the content needed for the Edexcel AS level Pure Mathematics exam. It can also be used alongside the Year 2 book to cover all the content needed for the Edexcel A level Pure Mathematics exams.
- Fully updated to match the 2017 specifications, with more of a focus on problem-solving and modelling as well as supporting the new calculators.
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FREE additional online content to support your independent learning, including full worked solutions for every question in the book (SolutionBank), GeoGebra interactives and Casio calculator tutorials.
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Includes access to an online digital edition (valid for 3 years once activated).
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Includes worked examples with guidance, lots of exam-style questions, a practice paper, and plenty of mixed and review exercises.
Table of Contents
| Section Title | Page | Action | Price |
|---|---|---|---|
| Front Cover | Front Cover | ||
| Contents | ii | ||
| Overarching themes | iv | ||
| Extra online content | vi | ||
| Chapter 1: Algebraic expressions | 1 | ||
| 1.1: Index laws | 2 | ||
| 1.2: Expanding brackets | 4 | ||
| 1.3: Factorising | 6 | ||
| 1.4: Negative and fractional indices | 9 | ||
| 1.5: Surds | 12 | ||
| 1.6: Rationalising denominators | 13 | ||
| Mixed exercise: 1 | 15 | ||
| Chapter 2: Quadratics | 18 | ||
| 2.1: Solving quadratic equations | 19 | ||
| 2.2: Completing the square | 22 | ||
| 2.3: Functions | 25 | ||
| 2.4: Quadratic graphs | 27 | ||
| 2.5: The discriminant | 30 | ||
| 2.6: Modelling with quadratics | 32 | ||
| Mixed exercise: 2 | 35 | ||
| Chapter 3: Equations and in equalities | 38 | ||
| 3.1: Linear simultaneous equations | 39 | ||
| 3.2: Quadratic simultaneous equations | 41 | ||
| 3.3: Simultaneous equations on graphs | 42 | ||
| 3.4: Linear inequalities | 46 | ||
| 3.5: Quadratic inequalities | 48 | ||
| 3.6: Inequalities on graphs | 51 | ||
| 3.7: Regions | 53 | ||
| Mixed exercise: 3 | 56 | ||
| Chapter 4: Graphs and transformations | 59 | ||
| 4.1: Cubic graphs | 60 | ||
| 4.2: Quartic graphs | 64 | ||
| 4.3: Reciprocal graphs | 66 | ||
| 4.4: Points of intersection | 68 | ||
| 4.5: Translating graphs | 71 | ||
| 4.6: Stretching graphs | 75 | ||
| 4.7: Transforming functions | 79 | ||
| Mixed exercise: 4 | 82 | ||
| Review exercise: 1 | 85 | ||
| Chapter 5: Straight line graphs | 89 | ||
| 5.1: y = mx + c | 90 | ||
| 5.2: Equations of straight lines | 93 | ||
| 5.3: Parallel and perpendicular lines | 97 | ||
| 5.4: Length and area | 100 | ||
| 5.5: Modelling with straight lines | 103 | ||
| Mixed exercise: 5 | 108 | ||
| Chapter 6: Circles | 113 | ||
| 6.1: Midpoints and perpendicular bisectors | 114 | ||
| 6.2: Equation of a circle | 117 | ||
| 6.3: Intersections of straight lines and circles | 121 | ||
| 6.4: Use tangent and chord properties | 123 | ||
| 6.5: Circles and triangles | 128 | ||
| Mixed exercise: 6 | 132 | ||
| Chapter 7: Algebraic methods | 137 | ||
| 7.1: Algebraic fractions | 138 | ||
| 7.2: Dividing polynomials | 139 | ||
| 7.3: The factor theorem | 143 | ||
| 7.4: Mathematical proof | 146 | ||
| 7.5: Methods of proof | 150 | ||
| Mixed exercise: 7 | 154 | ||
| Chapter 8: The binomial expansion | 158 | ||
| 8.1: Pascal’s triangle | 159 | ||
| 8.2: Factorial notation | 161 | ||
| 8.3: The binomial expansion | 163 | ||
| 8.4: Solving binomial problems | 165 | ||
| 8.5: Binomial estimation | 167 | ||
| Mixed exercise: 8 | 169 | ||
| Chapter 9: Trigonometric ratios | 173 | ||
| 9.1: The cosine rule | 174 | ||
| 9.2: The sine rule | 179 | ||
| 9.3: Areas of triangles | 185 | ||
| 9.4: Solving triangle problems | 187 | ||
| 9.5: Graphs of sine, cosine and tangent | 192 | ||
| 9.6: Transforming trigonometric graphs | 194 | ||
| Mixed exercise: 9 | 198 | ||
| Chapter 10: Trigonometric identities and equations | 202 | ||
| 10.1: Angles in all four quadrants | 203 | ||
| 10.2: Exact values of trigonometrical ratios | 208 | ||
| 10.3: Trigonometric identities | 209 | ||
| 10.4: Simple trigonometric equations | 213 | ||
| 10.5: Harder trigonometric equations | 217 | ||
| 10.6: Equations and identities | 219 | ||
| Mixed exercise: 10 | 222 | ||
| Review exercise: 2 | 226 | ||
| Chapter 11: Vectors | 230 | ||
| 11.1: Vectors | 231 | ||
| 11.2: Representing vectors | 235 | ||
| 11.3: Magnitude and direction | 239 | ||
| 11.4: Position vectors | 242 | ||
| 11.5: Solving geometric problems | 244 | ||
| 11.6: Modelling with vectors | 248 | ||
| Mixed exercise: 11 | 251 | ||
| Chapter 12: Differentiation | 255 | ||
| 12.1: Gradients of curves | 256 | ||
| 12.2: Finding the derivative | 259 | ||
| 12.3: Differentiating x n | 262 | ||
| 12.4: Differentiating quadratics | 264 | ||
| 12.5: Differentiating functions with two or more terms | 266 | ||
| 12.6: Gradients, tangents and normals | 268 | ||
| 12.7: Increasing and decreasing functions | 270 | ||
| 12.8: Second order derivatives | 271 | ||
| 12.9: Stationary points | 273 | ||
| 12.10: Sketching gradient functions | 277 | ||
| 12.11: Modelling with differentiation | 279 | ||
| Mixed exercise: 12 | 282 | ||
| Chapter 13: Integration | 287 | ||
| 13.1: Integrating xn | 288 | ||
| 13.2: Indefinite integrals | 290 | ||
| 13.3: Finding functions | 293 | ||
| 13.4: Definite integrals | 295 | ||
| 13.5: Areas under curves | 297 | ||
| 13.6: Areas under the x-axis | 300 | ||
| 13.7: Areas between curves and lines | 302 | ||
| Mixed exercise: 13 | 306 | ||
| Chapter 14: Exponentials and logarithms | 311 | ||
| 14.1: Exponential functions | 312 | ||
| 14.2: y = e x | 314 | ||
| 14.3: Exponential modelling | 317 | ||
| 14.4: Logarithms | 319 | ||
| 14.5: Laws of logarithms | 321 | ||
| 14.6: Solving equations using logarithms | 324 | ||
| 14.7: Working with natural logarithms | 326 | ||
| 14.8: Logarithms and non-linear data | 328 | ||
| Mixed exercise: 14 | 334 | ||
| Review exercise: 3 | 338 | ||
| Exam-style practice: Paper 1 | 342 | ||
| Answers | 345 | ||
| Index | 399 | ||
| Back Cover | Back Cover |